1) k-extreme point
k-端点
1.
In this paper, we prove that a k-extreme point(k-strongly extreme point) of the unit sphere in Banach spaces must be a(k+1)-extreme point((k+1)-strongly extreme point).
证明了Banach空间单位球面上的k-端点(k-强端点)必为(k+1)—端点((k+1)—强端点),给出了赋Luxemburg范数的Orlicz空间单位球k—端点(k—强端点)的判据,并据此得到了赋Luxemburg范数Orlicz空间是K严格凸和中点局部K一致凸的条件。
2.
This paper presents that a point in the unit sphere of X/M is k-extreme point of closed unit ball if every point on [x]∩S(X) is a k-extreme point of closed unit ball.
证明了商空间X/M单位球面上的点[x]为闭单位球的k-端点的充分条件是[x]与X的单位球面的交集中任一点均为闭单位球的k-端点,其中M是Banach空间X的可逼近子空间。
3.
Criteria for k-extreme points and k-strong extreme points of the unit ball in Orlicz function spaces with Orlicz norm is given.
给出了赋Orlicz范数的Orlicz函数空间单位球k-端点和k-强端点的判据,并据此方便地得到了赋Oricz范数Orlicz函数空间是K严格凸(KR)和中点局部K一致凸(MLKUR)的条
2) k-strongly extreme point
k-强端点
1.
In this paper, we prove that a k-extreme point(k-strongly extreme point) of the unit sphere in Banach spaces must be a(k+1)-extreme point((k+1)-strongly extreme point).
证明了Banach空间单位球面上的k-端点(k-强端点)必为(k+1)—端点((k+1)—强端点),给出了赋Luxemburg范数的Orlicz空间单位球k—端点(k—强端点)的判据,并据此得到了赋Luxemburg范数Orlicz空间是K严格凸和中点局部K一致凸的条件。
3) K-K-T point
K-K-T点
1.
We prove that when the homotopy map is a regular map,the K-K-T point obtained from this homotopy method must be a local optimal solution by choosing proper homotopy equation.
证明了同伦映射为正则映射的条件下,选取合适的同伦方程,用此同伦方法得到的K-K-T点一定是问题局部最优解。
4) K-joints
K型节点
1.
As one of the most fundamental joint configurations in tubular structures, The ultimate capacity of planer gap tubular K-joints is insufficient sometimes, which limit the project application of steel tube-truss.
然而,在实际工程中K型节点的极限承载力有时不足,限制了钢管结构在工程上的应用。
2.
Thus, an analytical parametric study was conducted to investgate the behavior of uniplanar K-joints and multiplanar KK-joints.
在此基础上,通过变参数分析考查了平面K型和空间KK型节点受力性能和节点破坏模式,研究了几何参数、主管应力比η、加劲构造等因素对节点受力性能和极限承载力的影响规律;同时,对于KK型节点,还考虑考虑了腹杆加载比例P2/P1的影响。
5) K-T point
K-T点
1.
Necessary and sufficient conditions for the K-T points to be the minimum points and for weak duality of a type of non-smooth programming problem;
一类非光滑规划K-T点都是极小点及弱对偶成立的充要条件
2.
Firstly,with the help of Lagrange function and F-B function of NCP,it sloves general constraint optimization problem by constructing the linear equations of equating K-T point condition.
算法有两个重要特征,首先,算法借助Lagrange函数和NCP中的F-B函数,通过构造等价于点条件的线性方程组来处理一般约束优化问题,其次,利用F-B函数的光滑性质,定义了调节参数,从而弱化了K-T点条件。
3.
Based on the K-T condition,it is verified that the center method can obtain at least the K-T point for the multi-objective optimization,whose result founds the basis for the research of Pareto optimality.
本文研究中心法求解多目标优化问题的解的最优性,在剖析K-T条件的基础上,证明了中心法得到的解至少是多目标优化问题的K-T点,为进一步研究解的Pareto最优性奠定基础。
6) K-joint
K型节点
1.
Study on Collision Behavior of K-joint in Offshore Jacket Platform;
海洋导管架平台K型节点碰撞性能研究
2.
Experiment on Force Performance of Concrete-filled Rectangular Steel Tube K-joints;
矩形钢管混凝土K型节点受力性能试验
补充资料:椐椐强强
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